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Simplifying 4(3 + v) + 38v = 11v (3 * 4 + v * 4) + 38v = 11v (12 + 4v) + 38v = 11v Combine like terms: 4v + 38v = 42v 12 + 42v = 11v Solving 12 + 42v = 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 12 + 42v + -11v = 11v + -11v Combine like terms: 42v + -11v = 31v 12 + 31v = 11v + -11v Combine like terms: 11v + -11v = 0 12 + 31v = 0 Add '-12' to each side of the equation. 12 + -12 + 31v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 31v = 0 + -12 31v = 0 + -12 Combine like terms: 0 + -12 = -12 31v = -12 Divide each side by '31'. v = -0.3870967742 Simplifying v = -0.3870967742
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